Publication Cover
Applicable Analysis
An International Journal
Volume 54, 1994 - Issue 3-4
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Original Articles

The first boundary value problem for the lterated helmholtz equation in a half

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Pages 151-161 | Received 05 Apr 1992, Published online: 02 May 2007

References

  • Aronszajn , N. , Creese , T. M. and Lipkin , L. J. 1983 . Polyharmonic Functions . Oxford: Clarendon ,
  • Edenhofer , J. 1975 . Eine Integraldarstellung der LÖsung der Dirichletschen Aufgabe bei der Potentialgleichung im Falle einer Hyperkugel . Math. Nachr. , 68 : 105 – 113 .
  • Garabedian , P. R. 1964 . Partial Differential Equations , New York : Wiley .
  • Filar , M. 1985 . Boundary problems for the homogeneous iterated Helmholtx equation in a certain unbounded domain of Euclidean n–;space . Comment. Math. Prace Mat. , 25 : 31 – 48 .
  • Gorowski , J. 1983 . On some boundary value problems for the equation ( in a half–space . Demonstratio Math. , 16 : 115 – 123 .
  • Gorowski , J. and Wachnicka , K. 1984 . The fundamental formular for the operator ( and its application . Comment. Math. Prace Mat. , 24 : 263 – 268 .
  • Schot , S. H. 1984 . A simple solution method for the first boundary value problem of the polyharmonic equation . Appl. Anal. , 41 : 145 – 153 .
  • Watson , G. N. 1958 . A treatise on the Theory of Bessel Functions , 2nd , Cambridge : Cambridge U. Press .

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